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A number is broken into primes as $405 = 3 \times 3 \times 3 \times 3 \times 5$ . Its exponent form is:

Class 7Prime Factors in Exponent FormNumber System

A $3^{5} \times 5$
B $3^{3} \times 5$
C $3^{4} \times 5$
D $3^{4} \times 5^{2}$

Step-by-Step Solution

3 is used four times and 5 once:

3^{4} \times 5 (81 \times 5 = 405) . 3^{3} \times 5 = 135

, so it misses one 3.

Answer: C)

3^{4} \times 5

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